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Finding the Third Proportional to 98,744 and 209,258

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Solution

The third proportional to 98,744 and 209,258 is: 443,458.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,744 : 209,258 = 209,258 : x
  2. Step 2: Convert to fraction form
    98,744/209,258 = 209,258/x
  3. Step 3: Cross multiply
    98,744x = 209,258 × 209,258
  4. Step 4: Simplify right side
    98,744x = 43,788,910,564
  5. Step 5: Solve for x
    x = 43,788,910,564/98,744
  6. Step 6: Final answer
    x = 443,458.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.